References
- Al‐Musallam , F. and Tuan , Vu Kim . 2003 . An uncertainty principle for a modified y>‐transform . Arch. of Ineq. and Appl. , 1 : 441 – 452 .
- Daher , R. and Kawazoe , T. 2006 . Generalized Hardy's theorem for the Jacobi transform . Hiroshima Math. J. , 36 : 331 – 337 .
- Ditkin , V.A. and Prudnikov , A.P. 1975 . Operational Calculus , Moscow : Vysh. Shkola . (in Russian)
- Erdélyi , A. , Magnus , W. , Oberhettinger , F. and Tricomi , F.G. 1953 . Higher Transcendental Functions, Vol. II , Vol. II , New York, London and Toronto : McGraw‐Hill .
- Gelfand , I.M. and Shilov , G.E. 1953 . Fourier transforms of rapidly increasing functions and questions of uniqueness of the solution of Cauchy's problem . Uspekhi Mat. Nauk , 8 : 3 – 54 .
- Hardy , G. 1933 . A theorem concerning Fourier transform . J. London Math. Soc. , 8 : 227 – 231 .
- Hörmander , L. 1991 . A uniqueness theorem of Beurling for Fourier transform pairs . Ark. Mat. , 29 : 237 – 240 .
- Hogan , J. A. and Lakey , J.D. 2005 . Time‐Frequency and Time‐Scale Methods. Adaptive Decompositions, Uncertainty Principles, and Sampling , Boston, Basel, Berlin : Birkhäuser .
- Lebedev , N.N. 1946 . Sur une formule d'inversion . C.R. Acad. Sci. URSS , 52 : 655 – 658 .
- Ma , R. 2007 . Heisenberg inequalities for Jacobi transforms . J. Math. Anal. Appl. , 332 : 155 – 163 .
- Cowling , M.G. and Price , J.F. 1983 . “ Generalization of Heisenberg's inequality ” . In Harmonic Analysis , 443 – 449 . Springer, Berlin : LNM . number 992
- Prudnikov , A.P. , Brychkov , Yu. A. and I. Marichev , O. 1986 . Integrals and Series: Vol. 1: Elementary Functions; Vol. 2: Special Functions , Vol. 2 , New York : Gordon and Breach .
- Rösler , M. 1999 . An uncertainty principle for the Dunkl transform . Bull. Austral. Math. Soc. , 99 : 353 – 360 .
- Rösler , M. and Voit , M. 1999 . An uncertainty principle for Hankel transform . Proc. Amer. Math. Soc. , 127 (1) : 183 – 194 .
- Sneddon , I.N. 1972 . The Use of Integral Transforms , New York : McGray Hill .
- Titchmarsh , E.C. 1937 . Introduction to the Theory of Fourier Integrals , Oxford : Clarendon Press .
- Tuan , Vu Kim . 2007 . Uncertainty principles for the Hankel transform . Integral Transforms and Special Functions , 18 (5) : 369 – 381 .
- Yakubovich , S.B. 1996 . Index Transforms , Singapore, New Jersey, London and Hong Kong : World Scientific Publishing Company .
- Yakubovich , S.B. 2004 . On the least values of Lp‐>norms for the Kontorovich‐Lebedev transform and its convolution . Journal of Approximation Theory , 131 : 231 – 242 .
- Yakubovich , S.B. and Luchko , Yu.F. 1994 . The Hypergeometric Approach to Integral Transforms and Convolutions , Vol. 287 , Dordrecht, Boston, London : Kluwers Ser. Math. and Appl .